Mathematical modeling and numerical simulation of nonlinearly elastic yarn in ring spinning
In this paper, yarn dynamic behavior in the ring spinning system has been studied. A new model has been proposed by considering nonlinear elastic yarn. Equations of motion were derived by Newton’s second law and resolved by the finite difference method. Some results were given and relationships amon...
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Veröffentlicht in: | Textile research journal 2021-02, Vol.91 (3-4), p.278-288 |
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description | In this paper, yarn dynamic behavior in the ring spinning system has been studied. A new model has been proposed by considering nonlinear elastic yarn. Equations of motion were derived by Newton’s second law and resolved by the finite difference method. Some results were given and relationships among models of inextensible yarn, linear elastic yarn, and nonlinearly elastic yarn were discussed. Experiments were conducted to evaluate the accuracy of the proposed model in terms of yarn tension and balloon profile and a good agreement has been made between the predicted data and experimental results. |
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A new model has been proposed by considering nonlinear elastic yarn. Equations of motion were derived by Newton’s second law and resolved by the finite difference method. Some results were given and relationships among models of inextensible yarn, linear elastic yarn, and nonlinearly elastic yarn were discussed. Experiments were conducted to evaluate the accuracy of the proposed model in terms of yarn tension and balloon profile and a good agreement has been made between the predicted data and experimental results.</description><identifier>ISSN: 0040-5175</identifier><identifier>EISSN: 1746-7748</identifier><identifier>DOI: 10.1177/0040517520940807</identifier><language>eng</language><publisher>London, England: SAGE Publications</publisher><subject>Elastic yarns ; Equations of motion ; Finite difference method ; Mathematical models ; Model accuracy ; Nonlinear equations ; Ring spinning</subject><ispartof>Textile research journal, 2021-02, Vol.91 (3-4), p.278-288</ispartof><rights>The Author(s) 2020</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c309t-cf499ee8041f8efd67841c5b68fe1968fee532be0b00fe92490aacf421a0e3b63</citedby><cites>FETCH-LOGICAL-c309t-cf499ee8041f8efd67841c5b68fe1968fee532be0b00fe92490aacf421a0e3b63</cites><orcidid>0000-0003-1680-7610</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://journals.sagepub.com/doi/pdf/10.1177/0040517520940807$$EPDF$$P50$$Gsage$$H</linktopdf><linktohtml>$$Uhttps://journals.sagepub.com/doi/10.1177/0040517520940807$$EHTML$$P50$$Gsage$$H</linktohtml><link.rule.ids>314,778,782,21802,27907,27908,43604,43605</link.rule.ids></links><search><creatorcontrib>Yin, Rong</creatorcontrib><title>Mathematical modeling and numerical simulation of nonlinearly elastic yarn in ring spinning</title><title>Textile research journal</title><description>In this paper, yarn dynamic behavior in the ring spinning system has been studied. A new model has been proposed by considering nonlinear elastic yarn. Equations of motion were derived by Newton’s second law and resolved by the finite difference method. Some results were given and relationships among models of inextensible yarn, linear elastic yarn, and nonlinearly elastic yarn were discussed. Experiments were conducted to evaluate the accuracy of the proposed model in terms of yarn tension and balloon profile and a good agreement has been made between the predicted data and experimental results.</description><subject>Elastic yarns</subject><subject>Equations of motion</subject><subject>Finite difference method</subject><subject>Mathematical models</subject><subject>Model accuracy</subject><subject>Nonlinear equations</subject><subject>Ring spinning</subject><issn>0040-5175</issn><issn>1746-7748</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><recordid>eNp1kE1LxDAQQIMouK7ePQY8Vydt2iRHWfyCFS968lDSdrJ2aZOatIf-e1NXEAQvM8PMezMwhFwyuGZMiBsADjkTeQqKgwRxRFZM8CIRgstjslrGyTI_JWch7AFASiFX5P1Zjx_Y67GtdUd712DX2h3VtqF26tF_t0PbT11EnKXOUOtsZFD7bqbY6RBVOmtvaWupX-QwtNbG4pycGN0FvPjJa_J2f_e6eUy2Lw9Pm9ttUmegxqQ2XClECZwZiaYphOSszqtCGmRqiZhnaYVQARhUKVegdZRSpgGzqsjW5Oqwd_Duc8Iwlns3eRtPlimXjCvO5ULBgaq9C8GjKQff9trPJYNyeWH594VRSQ5K0Dv8Xfov_wWHmXHI</recordid><startdate>202102</startdate><enddate>202102</enddate><creator>Yin, Rong</creator><general>SAGE Publications</general><general>Sage Publications Ltd</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SR</scope><scope>8FD</scope><scope>F28</scope><scope>FR3</scope><scope>JG9</scope><orcidid>https://orcid.org/0000-0003-1680-7610</orcidid></search><sort><creationdate>202102</creationdate><title>Mathematical modeling and numerical simulation of nonlinearly elastic yarn in ring spinning</title><author>Yin, Rong</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c309t-cf499ee8041f8efd67841c5b68fe1968fee532be0b00fe92490aacf421a0e3b63</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Elastic yarns</topic><topic>Equations of motion</topic><topic>Finite difference method</topic><topic>Mathematical models</topic><topic>Model accuracy</topic><topic>Nonlinear equations</topic><topic>Ring spinning</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Yin, Rong</creatorcontrib><collection>CrossRef</collection><collection>Engineered Materials Abstracts</collection><collection>Technology Research Database</collection><collection>ANTE: Abstracts in New Technology & Engineering</collection><collection>Engineering Research Database</collection><collection>Materials Research Database</collection><jtitle>Textile research journal</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Yin, Rong</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Mathematical modeling and numerical simulation of nonlinearly elastic yarn in ring spinning</atitle><jtitle>Textile research journal</jtitle><date>2021-02</date><risdate>2021</risdate><volume>91</volume><issue>3-4</issue><spage>278</spage><epage>288</epage><pages>278-288</pages><issn>0040-5175</issn><eissn>1746-7748</eissn><abstract>In this paper, yarn dynamic behavior in the ring spinning system has been studied. A new model has been proposed by considering nonlinear elastic yarn. Equations of motion were derived by Newton’s second law and resolved by the finite difference method. Some results were given and relationships among models of inextensible yarn, linear elastic yarn, and nonlinearly elastic yarn were discussed. Experiments were conducted to evaluate the accuracy of the proposed model in terms of yarn tension and balloon profile and a good agreement has been made between the predicted data and experimental results.</abstract><cop>London, England</cop><pub>SAGE Publications</pub><doi>10.1177/0040517520940807</doi><tpages>11</tpages><orcidid>https://orcid.org/0000-0003-1680-7610</orcidid></addata></record> |
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subjects | Elastic yarns Equations of motion Finite difference method Mathematical models Model accuracy Nonlinear equations Ring spinning |
title | Mathematical modeling and numerical simulation of nonlinearly elastic yarn in ring spinning |
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